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math.NA2023★ 2 cited
A Weighted Randomized Sparse Kaczmarz Method for Solving Linear Systems
Lu Zhang, Ziyang Yuan, Hongxia Wang +1
The randomized sparse Kaczmarz method, designed for seeking the sparse solutions of the linear systems , selects the -th projection hyperplane with likelihood proportional…
math.NA2021★ 15 cited
Adaptively Sketched Bregman Projection Methods for Linear Systems
Ziyang Yuan, Lu Zhang, Hongxia Wang +1
The sketch-and-project, as a general archetypal algorithm for solving linear systems, unifies a variety of randomized iterative methods such as the randomized Kaczmarz and randomiz…
math.NA2021★ 8 cited
Sparse Sampling Kaczmarz-Motzkin Method with Linear Convergence
Ziyang Yuan, Hui Zhang, Hongxia Wang
The randomized sparse Kaczmarz method was recently proposed to recover sparse solutions of linear systems. In this work, we introduce a greedy variant of the randomized sparse Kacz…